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Finding the Fourth Proportional to 29,257.60, 43,890 and 9,530.86

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Solution

The fourth proportional to 29,257.60, 43,890 and 9,530.86 is: 14,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,257.60 : 43,890 = 9,530.86 : x
  2. Step 2: Convert to fraction form
    29,257.60/43,890 = 9,530.86/x
  3. Step 3: Cross multiply
    29,257.60x = 43,890 × 9,530.86
  4. Step 4: Simplify right side
    29,257.60x = 418,309,445.40
  5. Step 5: Solve for x
    x = 418,309,445.40/29,257.60
  6. Step 6: Final answer
    x = 14,297.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.